%0 Journal Article
%T Deformations of Lie 2-algebras
%A Zhangju Liu
%A Yunhe Sheng
%A Tao Zhang
%J Mathematics
%D 2013
%I arXiv
%R 10.1016/j.geomphys.2014.07.020
%X In this paper, we consider deformations of Lie 2-algebras via the cohomology theory. We prove that a 1-parameter infinitesimal deformation of a Lie 2-algebra $\g$ corresponds to a 2-cocycle of $\g$ with the coefficients in the adjoint representation. The Nijenhuis operator for Lie 2-algebras is introduced to describe trivial deformations. We also study abelian extensions of Lie 2-algebras from the viewpoint of deformations of semidirect product Lie 2-algebras.
%U http://arxiv.org/abs/1306.6225v1